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a70
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A survey is done in am office among 120 people to know how many of the Updated on: 14 Aug 2018, 04:15
Originally posted by a70 on 31 Jul 2018, 00:58.
Last edited by a70 on 14 Aug 2018, 04:15, edited 1 time in total.
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95% (hard)

Question Stats:

38% (02:27) correct 62% (02:34) wrong based on 296 sessions

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A survey is done in am office among 120 people to know how many of them like their boss. 50 people not only like their boss but also admire him. If an employee is selected at random, is the probability that he neither likes his boss nor admires him less than 20%?
1. 10 employees do not like their boss
2. 80% of the employees admire their boss
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A
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chetan2u
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A survey is done in am office among 120 people to know how many of the 31 Jul 2018, 01:14
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ankit2601
A survey is done in am office among 120 people to know how many of them like their boss. 50 people not only like their boss but also admire him. If an employee is selected at random, is the probability that he neither likes his boss nor admires him less than 20%?
1. 10 employees do not like their boss
2. 80% of the employees admire their boss
Show more

SO 4 groups -
1) Only Like boss - L
2) Only admire boss - A
3) both - B
4) neither - N

L+A+B+N=120
B=50

IS N< 20% 0r 20*120/100 that is ' Is N < 24?"

1. 10 employees do not like their boss
so A+N=10 therefore \(\leq{10}\)
ans YES
suff

2. 80% of the employees admire their boss
so remaining 20 5 can be all who do not like also, that is L is sub set of A, then N=20%....NO
if even any one of remaining likes then N<20%.. YES
insuff

A
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Raksat
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A survey is done in am office among 120 people to know how many of the 09 Aug 2018, 08:53
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chetan2u
ankit2601
A survey is done in am office among 120 people to know how many of them like their boss. 50 people not only like their boss but also admire him. If an employee is selected at random, is the probability that he neither likes his boss nor admires him less than 20%?
1. 10 employees do not like their boss
2. 80% of the employees admire their boss

SO 4 groups -
1) Only Like boss - L
2) Only admire boss - A
3) both - B
4) neither - N

L+A+B+N=120
B=50

IS N< 20% 0r 20*120/100 that is ' Is N < 24?"

1. 10 employees do not like their boss
so B+N=10 therefore \(\leq{10}\)
ans NO
suff

2. 80% of the employees admire their boss
so remaining 20 5 can be all who do not like also, that is L is sub set of A, then N=20%....YES
if even any one of remaining likes then N<20%
insuff

A
Show more
Sir,
i couldn't understand how it could be B+N =10, IMO it should be A+N =10
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chetan2u
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A survey is done in am office among 120 people to know how many of the 09 Aug 2018, 09:31
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Raksat
chetan2u
ankit2601
A survey is done in am office among 120 people to know how many of them like their boss. 50 people not only like their boss but also admire him. If an employee is selected at random, is the probability that he neither likes his boss nor admires him less than 20%?
1. 10 employees do not like their boss
2. 80% of the employees admire their boss

SO 4 groups -
1) Only Like boss - L
2) Only admire boss - A
3) both - B
4) neither - N

L+A+B+N=120
B=50

IS N< 20% 0r 20*120/100 that is ' Is N < 24?"

1. 10 employees do not like their boss
so B+N=10 therefore \(\leq{10}\)
ans NO
suff

2. 80% of the employees admire their boss
so remaining 20 5 can be all who do not like also, that is L is sub set of A, then N=20%....YES
if even any one of remaining likes then N<20%
insuff

A
Sir,
i couldn't understand how it could be B+N =10, IMO it should be A+N =10
Show more

Thanks it was a typing error. Edited
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A survey is done in am office among 120 people to know how many of the 26 Aug 2018, 11:49
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Hi Chetan

Can you please explain the answer again. How have you used the 'not like' scenario to derive the answer.
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A survey is done in am office among 120 people to know how many of the 29 Aug 2018, 07:18
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chetan2u
ankit2601
A survey is done in am office among 120 people to know how many of them like their boss. 50 people not only like their boss but also admire him. If an employee is selected at random, is the probability that he neither likes his boss nor admires him less than 20%?
1. 10 employees do not like their boss
2. 80% of the employees admire their boss

SO 4 groups -
1) Only Like boss - L
2) Only admire boss - A
3) both - B
4) neither - N

L+A+B+N=120
B=50

IS N< 20% 0r 20*120/100 that is ' Is N < 24?"

1. 10 employees do not like their boss
so A+N=10 therefore \(\leq{10}\)
ans NO
suff

2. 80% of the employees admire their boss
so remaining 20 5 can be all who do not like also, that is L is sub set of A, then N=20%....YES
if even any one of remaining likes then N<20%
insuff

A
Show more

Shldnt the answer be yes, the probability is less than 20% instead of No as written.
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cancerian
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A survey is done in am office among 120 people to know how many of the 21 Nov 2018, 11:32
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Hi guys , one query : can’t we do it like : probability of neither liking nor admiring =1- (50C1/120C1) as 50 people not only like but also admire the boss

Please suggest

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A survey is done in am office among 120 people to know how many of the 22 Oct 2024, 06:42
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